2023/11/30 by Mei, Jianwei
#FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th)
paper · doi:10.48550/arxiv.2311.18409
The advancement in gravitational wave detection has made it necessary to study the nonlinear effects in black hole perturbation theory. For the most interesting Kerr background, the current basis of the study, the Teukolsky equation, is given in terms of the Weyl scalars and elaborated metric reconstruction schemes are needed to obtain the full metric perturbation. In this work, I present two complementary and fully separated solutions to the metric perturbation equations directly.